The $L^p$ Regularity Problem on Lipschitz Domains

Details The $L^p$ Regularity Problem on Lipschitz Domains The $L^p$ Regularity Problem on Lipschitz Domains

2009-04-24

arxiv.org/abs/0904.3906v2

Mathematics

Analysis of PDEs

To appear in Trans. of AMS. Updated to fix formatting issues

Scientific paper

This paper contains two results on the $L^p$ regularity problem on Lipschitz domains. For second order elliptic systems and $12$, the solvability of the $L^p$ regularity problem is equivalent to a weak reverse H\"older condition with exponent $p$.

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